Degrees/second to Revolutions/hour Converter (°/s to rev/h)

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Live Conversion • ISO 80000-3:2019 Certified

1 Degree/second = 10 Revolution/hour

1 °/s = 10 rev/h • 1 rev/h = 0.1 °/s

Decimals:

Certified Authority Value

10.00000000

rev/h

From / Input

°/s

Swap to Revolution/hour to Degree/second

To / Result

rev/h

Quick Values:

Conversion Formula

To convert Degree/second to Revolution/hour, multiply by 10

°/s × 10 = rev/h

Calculation: 1 °/s × 10 = 10 rev/h

Common Degree/second to Revolution/hour Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Degree/second (°/s) and Revolution/hour (rev/h).

Tap any row to calculate

Degree/second to Revolution/hour: Primary Direct Table (15 Steps)

Rule: 1 Degree/second is equal to 10 rev/h (Revolution/hour)

Degree/second to Revolution/hour Conversion Reference Table
Conversion & Equivalent Value	Scientific Notation
0.001 °/s 0.01 rev/h	1 × 10⁻²
0.01 °/s 0.1 rev/h	1 × 10⁻¹
0.1 °/s 1 rev/h	1 × 10⁰
0.5 °/s 5 rev/h	5 × 10⁰
1 °/s 10 rev/h	1 × 10¹
2 °/s 20 rev/h	2 × 10¹
5 °/s 50 rev/h	5 × 10¹
10 °/s 100 rev/h	1 × 10²
20 °/s 200 rev/h	2 × 10²
25 °/s 250 rev/h	2.5 × 10²
50 °/s 500 rev/h	5 × 10²
100 °/s 1000 rev/h	1 × 10³
250 °/s 2500 rev/h	2.5 × 10³
500 °/s 5000 rev/h	5 × 10³
1000 °/s 10000 rev/h	1 × 10⁴

Revolution/hour to Degree/second: Reciprocal Summary

Rule: 1 Revolution/hour is equal to 0.1 °/s (Degree/second)

Revolution/hour to Degree/second Conversion Reference Table
Reciprocal & Equivalent Value	Scientific Notation
1 rev/h 0.1 °/s	1 × 10⁻¹
5 rev/h 0.5 °/s	5 × 10⁻¹
10 rev/h 1 °/s	1 × 10⁰
50 rev/h 5 °/s	5 × 10⁰
100 rev/h 10 °/s	1 × 10¹

View Complete 15-Row Revolution/hour to Degree/second Table

Real-World Context & Everyday Benchmarks

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To help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for Degree/second (°/s) and Revolution/hour (rev/h):

Degree/second References:

Second hand movement rate on standard analog clock 6 °/s
Human smooth pursuit eye tracking maximum visual velocity 30 °/s
Aerobatic competition stunt airplane maximum roll rate 360 °/s

Revolution/hour References:

Analog clock minute hand complete revolutions per hour 1 rev/h
London Eye passenger observation wheel rotation rate 2 rev/h

Tap any benchmark above to automatically calculate its exact equivalent in Revolution/hour.

ISQ Dimension: [T⁻¹] Coherent SI Unit: radian per second (rad/s) Classical Mechanics & Dimensional Metrology

How to Convert Degree/second to Revolution/hour

Converting Degree/second (°/s) to Revolution/hour (rev/h) is a core calculation in Angular Velocity, which measures the rotational speed and rate of angular displacement per unit of time. Both units reside within the International System of Units (SI) and share an identical physical dimension vector ([T⁻¹]), separated strictly by a decimal order-of-magnitude factor (10^1). Because this shift involves integer powers of 10, the conversion is mathematically exact and free from decimal rounding or irrational fractional loss. Exactly 1 Degree/second equals 10 Revolution/hour.

Direct Factor1 °/s = 10 rev/h

Inverse Ratio1 rev/h = 0.1 °/s

Conversion ScalePure SI Metric Prefix Shift (10ⁿ Decimal Scaling)

First-Principles SI Derivation ProofNIST SP 811 / ISO 80000 Compliance

Mathematical Conversion Derivation via Coherent SI Base Unit

Under the International System of Quantities (ISQ), dimensional conversion between non-SI units is rigorously resolved by bridging through the coherent SI base unit (radian per second (rad/s)) without arbitrary rounding:

V_{\text{target}} = V_{\text{source}} \times \left( \frac{k_{\text{source} \to \text{SI}}}{k_{\text{target} \to \text{SI}}} \right)

Universal Dimensional Conversion Law (ISO 80000 / NIST SP 811)

1. Source SI Bridge (k_source):1 °/s = 0.0174533 radian per second (rad/s)

2. Target SI Bridge (k_target):1 rev/h = 0.00174533 radian per second (rad/s)

Step-by-step substitution for Degree/second → Revolution/hour:V(rev/h) = V(°/s) × ( 0.0174533 / 0.00174533 ) = V(°/s) × 10

Mathematical FormulaValue in Revolution/hour = Value in Degree/second × 10Direct computational formula applied for standard conversion.

Worked Example

For an engineering input of 75 °/s, applying the conversion factor yields exactly 750 rev/h. At larger operational scale, 240 Degree/second corresponds to 2400 rev/h.

Inverse check: 1 rev/h = 0.1 °/s.

Understanding Degree/second and Revolution/hour

Domain Metrology & Engineering Applications

Governing Law & Equation

Rotational Kinematics Relation (ω = dθ/dt)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using optical non-contact tachometers, stroboscopes, and resolver feedback transducers.

Primary Industry Sectors

Applied across electric motor drives, wind turbine generator monitoring, centrifuge engineering, and automotive drivetrains under international metrology standard ISO 80000-3:2019.

Institutional Metrology & Standard Authority:

Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-3:2019 and the BIPM SI Brochure (9th Edition). Governed by Rotational Kinematics Relation (ω = dθ/dt) under ISO 80000 dimensional vector [T⁻¹].

Multi-Variable Engineering Bridge Drivetrain Engineering & Shaft Power

Angular Velocity to Mechanical Power Bridge (Watts • Kilowatts • Horsepower)

Calculate total shaft power output P = τ × ω across standard torque load ratings, bridging rotational velocity [T⁻¹] with power [M L² T⁻³].

Input Rotational Angular Velocity (ω): °/s

Select Applied Shaft Torque: 250 N·m

Governing Law: P = τ × ω

Vector: [rad/s] × [N·m] → [W]

Live Calculated Bridge Equivalent:

1 °/s at Passenger Car Engine (250 N·m) = 4.3633 W

Equals 0.004363 kW • 4.363323 × 10⁻⁶ MW • 0.005851 hp

SI Power

4.3633

Watts

Grid / Utility

0.004363

Kilowatts

Power Plant

4.363323 × 10⁻⁶

Megawatts

Mechanical Rating

0.005851

Horsepower (Mechanical)

Metric Horsepower

0.005932

Metric Horsepower (PS)

HVAC Thermal Rating

14.89

BTU/h

BTU per Hour

Step-by-Step Numerical Derivation Proof View Derivation

1. Normalize Input to SI Base Unit (rad/s):
ω = 1 °/s × 0.01745329 = 0.01745329 rad/s
2. Apply Engineering Parameter (τ):
Selected condition: Passenger Car Engine (250 N·m) at τ = 250 N·m
3. Execute Governing Physical Law in SI Units:
P = τ × ω = (0.01745329 rad/s) × (250 N·m) = 4.363323 W
4. Convert to Standard Engineering Units:
• W: 4.363323 × 1 = 4.3633 W (Watts) • kW: 4.363323 × 0.001 = 0.004363 kW (Kilowatts) • MW: 4.363323 × 1 × 10⁻⁶ = 4.363323 × 10⁻⁶ MW (Megawatts) • hp: 4.363323 × 0.001341 = 0.005851 hp (Horsepower (Mechanical)) • PS: 4.363323 × 0.00136 = 0.005932 PS (Metric Horsepower (PS)) • BTU/h: 4.363323 × 3.4121 = 14.89 BTU/h (BTU per Hour)

Explore Full Torque Converter →

Engineering Substance / Operating Standard	Parameter Value (N·m)	Reference State / Condition	Typical Industrial & Engineering Application
Automation Servo Motor (2 N·m)	`2`	2.0 N·m	Packaging & robotics joint servo
Passenger Car Engine (250 N·m)	`250`	250.0 N·m	Typical 2.0L turbo automobile engine
Commercial Diesel Semi Truck (1,200 N·m)	`1200`	1,200 N·m	Heavy freight turbo diesel engine
Marine Propulsion Shaft (25,000 N·m)	`25000`	25,000 N·m	Container vessel direct drive shaft

Frequently Asked Questions

There are exactly 10 revolutions/hour (rev/h) in 1 degree/second (°/s). To calculate larger amounts manually, simply multiply your total number of degrees/second by the conversion multiplier of 10.

The mathematical formula to convert degrees/second to revolutions/hour is: [value] * 10 = revolutions/hour. Rather than doing the math manually, you can use our high-precision online calculator to process this exact equation instantly without rounding errors.

To perform the reverse calculation from revolutions/hour back to degrees/second, you must divide your starting value by 10. Our bidirectional tool automatically computes this inverse equation the moment you type into the revolution/hour input field.

1 Degree/second is larger than 1 Revolution/hour. Specifically, 1 Degree/second equals exactly 10 revolutions/hour, making it 10 times larger (a difference of 1.00 orders of magnitude). Therefore, quantities expressed in revolutions/hour require a larger numerical value to represent the same physical amount.

Under standard international measurement guidelines, 1 Degree/second converts to 10 revolutions/hour. Precise numerical conversion factors ensure consistency across laboratory, engineering, and field data.